Muscle Function and Energetics of Locomotion — Glossary of Terms

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A complete, deduplicated reference of the key terms introduced across Weeks 5–8. When a term was defined in several lectures, the most complete definition is retained.

Term Definition
AT/PCSA ratio Ratio of tendon cross-sectional area to muscle PCSA; sets tendon stiffness relative to the force the muscle can apply. Low AT/PCSA → compliant tendon, high elastic energy cycling.
Achilles tendon The free distal tendon connecting the triceps surae (gastrocnemius + soleus) to the calcaneus; one of the body’s most important elastic-energy storage elements. Disproportionately long in humans compared to other great apes.
Actin (thin filament) The thin contractile filament; provides binding sites for myosin heads. Binding sites are blocked by tropomyosin in the absence of Ca2+.
Activation level (Fact) A scalar (0–1) representing the fraction of fibers active or the level of Ca2+ activation; in standard muscle models, scales the F–L–V surface multiplicatively.
Aerial phase The portion of the stride cycle when no foot is on the ground (running, hopping).
Allometric scaling Scaling with body size in which proportions change — e.g., the postural shift that raises EMA in larger mammals.
AMPK AMP-activated protein kinase; an energy sensor that activates endurance signaling (via PGC-1α) and inhibits mTOR (via TSC1/2) — the molecular basis of concurrent-training interference.
Ankle exoskeleton A wearable elastic device that adds parallel rotational stiffness to the ankle joint; reduces metabolic cost when its stiffness is matched to the wearer’s biological muscle–tendon dynamics.
Antioxidant enzyme capacity Enzymatic capacity to neutralize free radicals produced during exercise; can rise by ~100% over 12 weeks of training.
Aponeurosis A flat, broad internal tendon that lies on (or within) the muscle belly and connects to the external tendon. Part of total tendon length.
Atrophy Decrease in muscle cell volume in response to detraining, immobilization, or denervation. In the current model, myonuclei are retained even as the cytoplasm shrinks.
a-v O2 difference Difference between arterial and venous O2 content; rises slowly with peripheral adaptation (capillary density, mitochondrial density) and accounts for most long-term VO2 max gain.
B-mode ultrasound Non-invasive imaging technique that resolves fascicle length and pennation angle in real time in living humans during movement; the human analog of sonomicrometry.
Bone safety factor Ratio of bone failure strength to peak bone stress during typical locomotion; about 2–4 across vertebrates, because bone remodels to match the loads it routinely experiences.
Bouncing gait A locomotion pattern (running, hopping, trotting) in which gravitational and kinetic energies fluctuate in phase and elastic structures cycle the energy.
Bramble & Lieberman 2004 Foundational paper proposing the endurance-running hypothesis. Catalogs human anatomical features argued to be running-specific; critiques include limited fossil evidence and alternative interpretations as walking adaptations.
Brake / energy absorber (muscle function) A muscle that lengthens while producing high force, doing negative net work and dissipating energy from the system.
Cardiac output (Q) Heart rate × stroke volume; rises with training mainly via increased stroke volume and accounts for most of the short-term VO2 max gain.
Carotid rete A meshwork of arterioles around the carotid artery in many cursorial mammals that cools the blood supply to the brain via heat exchange with cooler nasal venous return. Humans lack a carotid rete.
Center of mass (CoM) The single point at which the body’s mass can be approximated as concentrated for whole-body dynamics.
Center-of-pressure excursion index (CPEI) A measure of how much the center of pressure rolls forward along the foot during stance, normalized to foot width. Larger excursion → more efficient walking.
Collision The energy-dissipating impact at heel strike when the leading leg comes down with downward velocity that must be reversed.
Collisional energy loss Energy dissipated at the moment of foot-ground contact during step-to-step transitions; a major irreducible energy cost in legged locomotion.
Compliant tendon A tendon that stretches substantially under physiological loads; stores and returns elastic strain energy. Low AT/PCSA.
Concentric contraction Shortening contraction in which muscle force exceeds the load; performs positive work; most expensive in ATP per unit force.
Concurrent training Combined endurance + resistance training; can produce smaller strength gains than resistance alone because endurance signaling (AMPK) inhibits mTOR.
Cost coefficient (C) Energy used per Newton of body weight supported, per second; ~0.189 J/N, approximately constant across species and speeds.
Cost of transport (CoT) Energy used per unit distance traveled, per unit body mass (J kg⁻¹ m⁻¹). The central metric for comparing locomotor economy across species and speeds.
Cross-bridge cycle The six-step molecular cycle of myosin head attachment, power stroke, ADP release, ATP binding, and hydrolysis-driven re-cocking that produces sarcomere shortening.
Cross-reinnervation Experimental swap of nerves between fast and slow muscles, demonstrating that fiber type can shift in response to the pattern of neural activation.
Crouched posture The flexed-limb posture seen in small animals (mice, shrews) and in humans during deep knee bends; lower EMA, higher muscle-force demand.
Cursorial Adapted for sustained terrestrial locomotion; cursorial morphology includes upright parasagittal limbs, elongated distal limbs, reduced distal-limb mass, and elaborated tendons.
Detraining Decline in fitness after training stops. Beneficial effects diminish within ~2 weeks of substantially reduced activity and can fully disappear within 2–8 months.
Double support The portion of a walking stride when both feet are on the ground simultaneously.
Duty factor (DF) Fraction of the stride cycle spent in stance; > 0.5 for walking, < 0.5 for aerial running.
Dynamometer A rigid device that fixes joint angle and measures resulting joint torque during a maximal contraction; the human equivalent of a muscle ergometer.
Eccentric contraction Lengthening contraction in which the load exceeds muscle force; performs negative work; most economic per unit force but greatest injury risk.
Effective mechanical advantage (EMA) Ratio of muscle moment arm to GRF moment arm (r/R) at a joint. Higher EMA → lower required muscle force per unit body weight. Scales positively with body mass across mammals and birds.
Endurance running hypothesis The proposal (Bramble & Lieberman 2004) that selection for endurance running shaped many unique anatomical features of Homo, with persistence hunting as a plausible behavioral context.
Endurance training Low-to-moderate intensity, high-repetition training that increases mitochondrial volume density and oxidative capacity across all fiber types.
Energy conservation (in MTU) Energy flow Body → Tendon → Body: muscle near-isometric, tendon cycles elastic energy. Underlies economy of steady-state gait (walking, running, hopping).
Evaporative cooling (sweat) A thermoregulation strategy via sweat evaporation from the skin. Humans have exceptionally many eccrine sweat glands and minimal body hair — a strong unambiguous specialization.
Excitation–contraction coupling The sequence linking sarcolemmal action potentials to Ca2+ release from the SR and, ultimately, cross-bridge activation.
Exercise-associated muscle cramps (EAMC) Painful, involuntary, sustained muscle contractions during or just after exercise. Best-supported mechanism is altered neuromuscular control (fatigue-driven hyperexcitability of α-motor neurons), not dehydration or electrolyte loss.
External tendon The free portion of the tendon that connects the muscle to bone (e.g., the visible Achilles tendon).
Factorial aerobic scope (fAS) Ratio of VO2 max to BMR. Athletic species sit on a separate scaling line 2–4× higher than non-athletic species at the same body size.
Fascicle / fiber length (Lfiber) The length of a muscle fascicle. Determines displacement and velocity capacity of the muscle (proportional to sarcomeres in series).
Fiber arrangement The geometric organization of muscle fibers within a muscle belly: parallel (longitudinal), pennate (unipennate, bipennate), or multipennate.
Flat running CoT The pattern observed in bipeds (humans and birds) of CoT changing little with running speed over a wide range. Unlike quadrupeds, bipeds commit to one bouncing gait across most running speeds.
Foot rolling The continuous translation of the center of pressure from heel to toe during stance, made possible by the foot’s curved geometry — reduces collision losses.
Force–length (length–tension) relationship The intrinsic relationship between muscle length and the maximum active isometric force it can produce; parabolic with a peak at the optimum length L0, explained by actin–myosin overlap.
Force–velocity (F–V) relationship The intrinsic hyperbolic relationship between shortening velocity and load; foundational result of Hill (1938).
Force platform An instrumented plate that measures the three components (vertical, fore-aft, medio-lateral) of GRF in real time.
Forefoot strike A running foot-strike pattern (ball of foot first) with smoother GRF rise; uses the foot arch as a spring; common in barefoot runners.
Fmax (P0) Maximum isometric force at zero velocity.
Gait variability Variation in stride parameters from step to step; increases on uneven terrain and raises CoT proportionally.
Generalist muscle A muscle of intermediate architecture that does modest positive work in steady gait, can upregulate for inclines, and provides stability on uneven terrain (e.g., guinea fowl gastrocnemius).
Graviportal posture The straight-legged, columnar limb posture seen in very large animals (elephants, rhinos), maximizing EMA to keep muscle forces tractable despite large body weight.
Groucho running Running with a deeply flexed knee and lowered center of mass; increases muscle force demand and metabolic cost (~50%); used experimentally to demonstrate the link between posture and energetics.
Ground reaction force (GRF) The force the ground exerts on the foot — equal and opposite to the force the foot exerts on the ground (Newton’s 3rd law).
Heater organ A muscle (e.g., extraocular in some tunas) that has lost contractile function and dedicates its calcium-cycling machinery to thermogenesis via futile Ca2+ cycling.
Hill-type muscle model A standard phenomenological muscle model based on the Hill F–V hyperbola, combined with an F–L curve and an activation factor.
Hominin Member of the human lineage after divergence from the chimpanzee lineage (~6 Mya). Includes Australopithecus, Homo erectus, Homo sapiens, etc.
Hovering flight Sustained flight in place; aerodynamically demands lift on both upstroke and downstroke, requiring extreme power output (e.g., hummingbirds).
Hoyt-Taylor rule Animals voluntarily choose speeds near the minimum of the U-shaped CoT curve within a gait and switch gaits near CoT-curve intersections.
Hybrid (co-expressing) fiber A muscle fiber that simultaneously expresses more than one myosin heavy-chain isoform (most commonly type IIa/IIx). Becomes more prevalent with age.
Hyperplasia Increase in muscle fiber number; observed in animal models but with limited evidence in humans.
Hypertrophy Increase in muscle fiber size (cross-sectional area) in response to training; allows simultaneous increases in absolute amounts of myofibrils, mitochondria, and SR.
Intermyofibrillar mitochondria Mitochondria distributed between myofibrils; supply ATP for cross-bridge cycling.
Intramuscular fat infiltration Adipose tissue accumulation within the muscle belly; increases with age and reduces force per unit muscle volume (muscle quality).
Inverse dynamics A method for inferring muscle and joint forces from external measurements (motion capture, ground reaction force) by sequentially applying lever-system analysis at each joint.
Inverted pendulum model The walking analogy in which the body vaults over a stiff stance leg, exchanging gravitational and kinetic energy out of phase.
Isokinetic contraction Contraction at constant velocity; produced experimentally by an isokinetic dynamometer.
Isometric contraction Constant-length contraction with force generation but no shortening; no mechanical work, but ATP cost is proportional to force.
Isometric scaling Geometric scaling in which all linear dimensions grow in proportion; under isometry, strength (∝ L²) grows slower than mass (∝ L³).
Isotonic contraction Contraction at constant force; an experimental condition used to isolate the F–V relationship via load clamps.
Lateral gastrocnemius (LG) A common ankle extensor used in classic in vivo studies (Roberts 1997 turkey, Daley 2003 guinea fowl).
LT/Lo ratio Ratio of tendon slack length to optimal muscle fiber length. High → economic force, elastic cycling. Low → range of motion and position control.
M-shaped vertical GRF Characteristic double-hump vertical force trace of walking, with peaks at early and late stance and a mid-stance trough.
Mass-spring model A point-mass body on a massless springy leg; reproduces GRF magnitudes and timing in bouncing gaits across diverse legged animals.
Maximum voluntary contraction (MVC) Largest force a person can produce voluntarily; less than the muscle’s true maximum because the nervous system imposes a safety factor.
Mechanical efficiency Mechanical work output divided by total energy expenditure; peaks at lower velocities than peak power.
Mitochondrial volume density Fraction of muscle cell volume occupied by mitochondria; increases with endurance training in all fiber types.
Motor (muscle function) A muscle that shortens while producing high force, generating substantial positive net work per cycle.
Motor unit The functional unit of muscle activation: a single motor neuron and all the muscle fibers it innervates.
mTOR Mammalian target of rapamycin; the kinase that initiates protein synthesis in response to resistance-training mechanoreceptor activation.
Multifunctional muscle A muscle whose architecture allows it to act as a strut on level ground and a motor on inclines or during acceleration. Turkey lateral gastrocnemius is the canonical example.
Muscle ergometer A laboratory device that controls and measures muscle length and force; the workhorse of in vitro muscle mechanics.
Muscle memory Faster regain of fitness on retraining than during the original training, attributed to retained myonuclei (cellular component) and DNA methylation patterns (epigenetic component).
Muscle moment arm (r) Perpendicular distance from the muscle’s line of action to the joint center; determined primarily by skeletal morphology.
Muscle quality Force-producing capacity per unit muscle volume; declines with age even when volume is preserved, due to intramuscular fat infiltration.
Muscle–tendon unit (MTU) The functional unit comprising the muscle belly plus its associated tendon and aponeurosis.
Myofibril A long, cylindrical chain of sarcomeres within a muscle fiber; many myofibrils together fill most of the fiber volume.
Myofiber (muscle fiber) A single multi-nucleated skeletal muscle cell, specialized for force generation and movement.
Myonucleus / myonuclear domain A nucleus within a multinucleated muscle fiber; each regulates a fixed domain of cytoplasm, so hypertrophy beyond a threshold requires recruiting additional myonuclei via satellite-cell fusion.
Myosin (thick filament) The thick contractile filament; its globular heads form cross-bridges with actin and undergo the power stroke.
Myosin heavy chain (MHC) isoforms The myosin protein variants that define fiber type in skeletal muscle (MHC-I, MHC-IIa, MHC-IIx).
Net joint work Work done at a joint over a cycle; positive → energy generation; negative → energy absorption; near-zero → spring-like function.
Nuchal ligament A passive elastic ligament at the back of the neck in humans and many cursorial mammals; helps stabilize the head against pitching during running.
Optimum length (L0) The fiber/muscle length at which active isometric force is maximum; corresponds to maximal actin–myosin overlap.
Oropharyngeal reflex Sensory pathway by which strong tastes (e.g., pickle juice) activate receptors that send inhibitory signals to spinal α-motor neurons — proposed mechanism for cramp relief.
Overload Physical stress greater than usual that elicits adaptive plasticity in the trained system.
Overtraining Progressive decline in performance when training stress exceeds recovery capacity.
Oxycaloric coefficient Energy released per unit oxygen consumed during aerobic metabolism; ~20.1 J/mL O2 on average.
Passive-dynamic walking Bipedal locomotion driven by gravity plus mechanical-system geometry with minimal actuation; demonstrated in McGeer-style passive walkers.
Pectoralis The downstroke flight muscle in birds; in hummingbirds, composed exclusively of type IIa fibers packed with giant mitochondria.
Pennation angle The angle between muscle fibers and the line of action of the muscle–tendon unit. Increasing pennation packs more fibers per unit volume.
Persistence hunting A hunting strategy in which hunters track prey at sustained running speeds in heat until the prey overheats; often cited as the selective pressure for human endurance-running adaptations.
PGC-1α Master transcriptional coactivator that drives mitochondrial biogenesis after endurance training.
Physiological cross-sectional area (PCSA) Cross-section of muscle perpendicular to the fibers, computed as volume / fiber length. Determines the muscle’s maximum force capacity (proportional to sarcomeres in parallel).
Plantar aponeurosis The passive elastic sheet from the calcaneus to the toe pads, supporting the longitudinal arch and acting as the foot’s principal series elastic element.
Plantar arch The longitudinal arch of the human foot, supported by the plantar aponeurosis; acts as a tunable spring that stores and returns elastic energy during running.
Plantigrade / digitigrade / unguligrade posture Three foot postures along a continuum of distal-limb elongation. Plantigrade (humans, bears) — flat foot; digitigrade (dogs, cats, birds) — toes on ground; unguligrade (horses, ungulates) — tips of toes on ground.
Pontzer’s economy and endurance studies Comparative studies showing that humans have dramatically greater endurance than chimpanzees, standard muscle-mass-scaled VO2 max, and exceptionally economical walking relative to other primates.
Posture shift with body size The trend across mammals for limb posture to become more upright with increasing body size, raising EMA so that muscle force can keep up with body weight.
Power amplification (in MTU) Energy flow Muscle → Tendon → Body: muscle slowly loads the tendon, which rapidly recoils to release energy at a higher rate than the muscle alone could produce. Underlies jumping and ballistic feeding.
Power attenuation (in MTU) Energy flow Body → Tendon → Muscle: tendon absorbs body energy, muscle dissipates it by lengthening under load. Underlies landing and decline running.
Power stroke The conformational change in the myosin head, triggered by Pi release, that ratchets the actin filament past myosin.
Power–velocity curve Power = F × V plotted across the F–V curve; rises from zero, peaks at an intermediate velocity (~0.2–0.3 Vmax), and falls to zero at Vmax.
Progression The need to continually increase the training stimulus once a fitness level is reached.
Proximo-distal gradient The pattern in cursorial limbs of placing high-mass power-producing muscles proximally and specialized short-fibered spring muscles distally; reduces distal-limb inertia.
Push-off Trailing-leg work that adds energy to the body; effective push-off just before heel strike reduces the upcoming collision.
Raichlen & Polk brain-evolution hypothesis The proposal that selection for endurance activity raised baseline neurotrophin/growth-factor signaling in early Homo, indirectly driving the evolution of large brain size and cognition.
Rear-foot strike A running foot-strike pattern (heel first) producing a small early impact peak in the vertical GRF; common in shod runners.
Reduced-gravity experiments Treadmill experiments with partial-weight suspension demonstrating that running metabolic cost is approximately proportional to gravity, while walking cost is largely insensitive — confirming that running is force-limited and walking is work-limited.
Regional endothermy Maintenance of elevated temperature in selected tissues using vascular countercurrent heat exchangers (e.g., red swimming muscle in tunas).
Resistance training High-intensity, low-rep training; increases type II fiber size and produces a small IIx → IIa fiber-type shift.
Rete mirabile A vascular countercurrent heat exchanger that traps metabolic heat in tissues such as red muscle of tunas and mackerel sharks.
Reversibility Loss of training-induced gains when training stops; cardiovascular adaptations decay fastest, peripheral and structural adaptations more slowly.
Rigor The state in which actin and myosin remain tightly bound because no ATP is available; underlies rigor mortis.
Rubenson et al. reappraisal Modern re-analysis showing that human running CoT is ~17% higher than expected for body mass, while walking CoT is ~20% lower — a stronger case for walking specialization than running.
Running blade prosthesis Carbon-fiber prosthetic foot designed to mimic the elastic energy cycling of the natural Achilles tendon; stiffness must be individualized.
Sarcolemma The plasma membrane of a muscle cell; specialized for action potential propagation.
Sarcomere The functional contractile unit of striated muscle, defined between two Z-discs; contains overlapping actin and myosin filaments.
Sarcopenia Age-related loss of muscle mass and strength; primarily reflects type II fiber atrophy with preserved type I fiber size.
Sarcoplasm The cytoplasm of a muscle cell; densely packed with myofibrils, mitochondria, and SR.
Sarcoplasmic reticulum (SR) Specialized intracellular network that stores Ca2+ and contains Ca2+-ATPase pumps; functionally analogous to the endoplasmic reticulum.
Satellite cell Resident muscle stem cell that proliferates and either fuses with fibers to donate new myonuclei or releases exosomes that regulate ECM remodeling and angiogenesis.
Sliding filament model The model that explains sarcomere shortening as the result of cross-bridge cycling sliding actin past myosin without changes in filament length.
Soleus A major human ankle extensor; in walking and running operates near-isometrically (spring-like) with most MTU length change taken up by the Achilles tendon.
Sonomicrometry An experimental technique using implanted piezoelectric crystals to measure fascicle length during in vivo contraction via ultrasonic time-of-flight.
Specific tension (σ) Force per unit physiological cross-sectional area; ~18–30 N/cm² across vertebrate skeletal muscle.
Specificity Adaptations are specific to the body systems, muscle groups, contraction types, velocities, and ranges of motion trained.
Spring specialist A muscle with extreme architecture (very short fibers, very long thin tendon) constrained to act primarily as part of an elastic spring — e.g., wallaby plantaris. Trade-off: low safety factor for tendon injury.
SR Ca2+-ATPase (SERCA) The pump that re-sequesters Ca2+ into the SR after activation; a major ATP consumer (~30–40% of isometric ATP cost).
Stance phase The portion of the stride cycle when the foot is on the ground.
Step-to-step transition The brief interval when the trailing leg pushes off and the leading leg collides; the primary site of energy loss in walking.
Stiff tendon A tendon that stretches little under load; transmits force directly to rotate the joint. High AT/PCSA.
Stroke volume (SV) Volume of blood ejected per heartbeat; the most rapidly trained — and most rapidly detrained — cardiovascular variable.
Strut (muscle function) A muscle that contracts near-isometrically during force development, allowing the tendon to act as a passive spring. Produces no net muscle work but transmits force to the skeleton.
Subsarcolemmal mitochondria Mitochondria packed beneath the sarcolemma; supply ATP for SR Ca2+-ATPase activity.
Supercompensation The recovery cycle in which fitness dips below baseline after overload, then rebounds above baseline during adaptation.
Superfast (sonic) muscle A specialized muscle (e.g., toadfish swim bladder, rattlesnake tail-shaker) with very high SR volume fraction (~30%) supporting contraction rates >100 Hz; trades myofibril volume for SR.
Supracoracoideus The avian upstroke flight muscle; routes through a tendon over the shoulder to lift the wing.
Tendon buckle A surgically implanted strain-gauge transducer that wraps around a tendon and converts tendon deformation into a force signal.
Tendon slack length (LT) The length of the tendon at zero force; one of the key architectural parameters.
Titin A giant elastic structural protein that maintains sarcomere alignment and contributes to passive tension.
Torpor A state of greatly reduced metabolic rate and body temperature; used by hummingbirds when ambient temperatures fall too low for muscle function.
Torque (T) Rotational effect of a force, $T = F \times D$; measured in newton-meters (N·m).
Trainability The magnitude of adaptive response to a given training stimulus; strongly influenced by genetics. Low responders may gain only 2–3% in VO2 max, while high responders can gain ~50%.
Triad The structural unit formed by one T-tubule and two flanking SR terminal cisternae; the site of excitation–contraction coupling.
Triceps surae The compound calf muscle group: lateral gastrocnemius, medial gastrocnemius, and soleus; inserts via the Achilles tendon.
Troponin A regulatory protein bound to actin/tropomyosin; binds Ca2+ and exposes actin binding sites for cross-bridge formation.
TSC1/2 Tuberous sclerosis complex; an inhibitor of mTOR activated by AMPK during endurance training.
T-tubule An invagination of the sarcolemma that conducts the action potential into the cell interior, contacting the SR at the triad.
Twitch The brief mechanical response to a single action potential; its time course depends on Ca2+ release/uptake and cross-bridge kinetics.
Type I fiber (slow oxidative) Slow, fatigue-resistant fiber with high mitochondrial density, low ATPase activity, and high efficiency.
Type IIa fiber (fast oxidative–glycolytic) Fast fiber with high mitochondrial density and intermediate fatigue resistance.
Type IIx fiber (fast glycolytic) Fast fiber with low mitochondrial density, high ATPase activity, high specific tension, and rapid fatigue.
Vmax (maximum shortening velocity) Maximum unloaded velocity at which a muscle fiber can shorten; primarily determined by myosin isoform; declines with body size across mammals.
VO2 max Maximal rate of oxygen consumption during exercise; the canonical metric of aerobic capacity. Average training improvement is 15–20%; ~50% of inter-individual variation is heritable.
Walk-to-run gait transition The speed (~2.0 m/s in humans) at which gait switches from walking to running; helps keep muscles like the soleus near their optimal F–L and F–V operating point.
Weyand step-cycle equation Equation predicting average vertical GRF (in body weights) from the ratio of step duration to stance duration.
Work loop Plot of muscle force vs. muscle length over a contraction cycle; enclosed area equals net mechanical work per cycle. Counterclockwise → motor; clockwise → brake; narrow/no area → strut/spring.
Z-disc (Z-line) The structural boundary of a sarcomere; anchors actin (thin) filaments.
Zero-sum game (volume fractions) The principle that a fixed muscle-cell volume must be partitioned among myofibrils, SR, and mitochondria, so increases in one come at the expense of the others (Rome & Lindstedt 1998).

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